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Finding the Fourth Proportional to 83,781.52, 125,761.80 and 33,894.22

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Solution

The fourth proportional to 83,781.52, 125,761.80 and 33,894.22 is: 50,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781.52 : 125,761.80 = 33,894.22 : x
  2. Step 2: Convert to fraction form
    83,781.52/125,761.80 = 33,894.22/x
  3. Step 3: Cross multiply
    83,781.52x = 125,761.80 × 33,894.22
  4. Step 4: Simplify right side
    83,781.52x = 4,262,598,116.80
  5. Step 5: Solve for x
    x = 4,262,598,116.80/83,781.52
  6. Step 6: Final answer
    x = 50,877.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.